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Finding the Fourth Proportional to 10,143.10, 14,008.17 and 7,761.70

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Solution

The fourth proportional to 10,143.10, 14,008.17 and 7,761.70 is: 10,719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.10 : 14,008.17 = 7,761.70 : x
  2. Step 2: Convert to fraction form
    10,143.10/14,008.17 = 7,761.70/x
  3. Step 3: Cross multiply
    10,143.10x = 14,008.17 × 7,761.70
  4. Step 4: Simplify right side
    10,143.10x = 108,727,213.09
  5. Step 5: Solve for x
    x = 108,727,213.09/10,143.10
  6. Step 6: Final answer
    x = 10,719.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.